# Coordinate Geometry – Objective Questions- grade 9

Given below are important objective type questions on coordinate geometry for Grade 9 students.

All the questions are provided with solution and explanation.

(01) The other name of x axis is:

(a) Ordinate
(b) Abscissa

Solution
Option (b) is correct

(02) The other name for ” y axis” is

(a) Ordinate
(b) Abscissa

Solution
Option (b) is correct

(03) The intersection of x axis and y axis is called;

(a) Abscissa
(b) Origin
(c) Ordinate
(d) Coordinate

Solution
Option (b) is correct.

The point of intersection of x and y axis has coordinate (0, 0) and is called origin.

(04) What is the angle of intersection of x and y axis;

(a) 60 degree
(b) 30 degree
(c) 45 degree
(d) 90 degree

Solution
Option (d) is correct.

Both x and y axis intersect each other at right angles.

(05) Tell the location of point (-4, 0)

(a) x axis
(b) y axis
(c) line parallel to x axis
(d) line parallel to y axis

Solution
Option (a) is correct.

The point (-4, 0) lie exactly on x axis.

Given below is the location of point on graph paper.

(06) In which quadrant does point (-3, 6) lie ?

(a) First
(b) Second
(c) Third
(d) Fourth

Solution
Option (b) is correct.

In the given point (-3, 6); x coordinate is negative and y coordinate is positive which is only possible in second quadrant.

Given below is the location of point along with quadrant.

(07) In which quadrant does point (3, -4) lie ?

(a) First
(b) Second
(c) Third
(d) Fourth

Solution
Option (d) is correct.

In the given point (3, -4), x coordinate is positive and y coordinate is negative which is possible only in fourth quadrant.

(08) What is the value of x coordinate of ” y axis line ” ?

(a) 2
(b) 5
(c) 0
(d) 1

Solution
Option (c) is correct

In y axis line, the value of x coordinate is zero.

(09) They coordinate of a point is a positive value. In which quadrant can the given point lie ?

(a) First or second quadrant
(b) Second or fourth quadrant
(c) Third or first quadrant
(d) Second or third quadrant

Solution
Option (a) is correct.

Only in first and second quadrant, the positive value of y coordinate is possible.

(10) Let the given point is (-5, 3). What is the perpendicular distance of given point from y axis ?

(a) 10 units
(b) 3 units
(c) 6 units
(d) 5 units

Solution
Option (d) is correct

In coordinate geometry, the x coordinate tells the locate of point from y axis.

(11) Let the given point is (-2, -4). What is the perpendicular distance of point from x axis ?

(a) 2 units
(b) 4 units
(c) 6 units
(d) 8 units

Solution
Option (b) is correct.

In coordinate geometry, the y coordinate tells the perpendicular distance from x axis.

(12) Calculate the distance of point (-3, -4) from origin

(a) 7 units
(b) 6 units
(c) 10 units
(d) 5 units

Solution
Option (d) is correct

Here the point A is point (-3, -4).

Consider the right triangle OAB in above figure.

AB = 3 units
BC = 4 units

Applying Pythagoras theorem;

\mathtt{OA^{2} =AB^{2} +BO^{2}}\\\ \\ \mathtt{OA^{2} =3^{2} +4^{2}}\\\ \\ \mathtt{OA^{2} =9\ +\ 16}\\\ \\ \mathtt{OA^{2} =\ 25}\\\ \\ \mathtt{OA\ =\ 5\ units}

Hence, the point is located 5 units from origin.

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